Cook the meat: Preheat the oven to 350 degrees F. In a large oven-proof skillet, saute the onion and carrots over medium flame until soft, 5 minutes. Push them to the side and crank the heat to high. Add the beef in the center and break apart with your spatula. When the meat is cooked through and thoroughly broken down, mix it together with the vegetables. Continue to cook, stirring occasionally, until the meat is browned, about 5 more minutes. Add the garlic, salt, paprika, and cayenne and continue to saute on high heat until the meat is very brown, another 5 minutes. Stir in the flour until incorporated. Then add the tomato paste and the broth, scraping up the brown bits from the bottom of the pan. cook, stirring occasionally, until the broth has reduced by at least half.